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nika2105 [10]
3 years ago
14

Help Please & thanks!

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:

14 out of the total class of 35 are boys

Step-by-step explanation:

35 / 5 = 7

7 * 2 = 14

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Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
Llana [10]

Answer:

  h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

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<h3>f(x)</h3>

The equation is written in vertex form:

  f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

  f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

__

<h3>g(x)</h3>

The given equation can be written in vertex form:

  g(x) = 5x² -10x +7

  g(x) = 5(x² -2x) +7

  g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

  g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

__

<h3>h(x)</h3>

Your problem statement tells us ...

  h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

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<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0
2 years ago
Help please ::)))))........................
Zarrin [17]

Answer:

4:9

Step-by-step explanation:

  1. Circles: 8
  2. Total shapes: squares + circles
  3. Total shapes: 10 + 8
  4. Total shapes: 18
  5. Circles : Total shapes = 8:18
  6. 8:18 = 4:9

I hope this helps!

3 0
3 years ago
Read 2 more answers
Y=-6x-2, y=-6x-2 how many solutions are in it
GuDViN [60]

Answer:

Infinite

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

8 0
1 year ago
Calculate the missing angle and give a reason for your answer
Vanyuwa [196]

Step-by-step explanation:

the triangle is an isosceles triangle hence the base angles are equal

sum of angles in a triangle is 180°, therefore, the top angle =180-(62+62)

the top angle =56°

h°= the top angle because alternate angles are equal

hence, h=56°

5 0
2 years ago
Read 2 more answers
Which of the following pairs of functions are inverses of each other?
AnnyKZ [126]

Answer:

Step-by-step explanation:

Rearrange each function to solve for x.

Switch x and y,

The resulting equation is the inverse function.

A:

f(x) = y = 5+x

x = y-5

y = x-5

f⁻¹(x) = x-5

g(x) = 5-x ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

:::::

B:

f(x) = y = 2x-9

x = (y+9)/2

y = (x+9)/2

f⁻¹(x) = (x+9)/2

g(x) = (x+9)/2 = f⁻¹(x)

g(x) is the inverse of f(x).

:::::

C:

f(x) = y = 2/x - 6

x = 2/(y+6)

y = 2/(x+6)

f⁻¹(x) = 2/(x+6)

g(x) = (x+6)/2 ≠ f⁻¹(x)

:::::

D:

f(x) = y = x/3 + 4

x = 3y - 12

y = 3x - 12

f⁻¹(x) = 3x - 12

g(x) = 3x - 4 ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

4 0
2 years ago
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